5272道题目5525 条题源记录 · 相同内容已合并
线性建模・建立方程挑战
Each 3.0-ounce serving of cheddar cheese and each 1.2-ounce serving of tuna provides about 1 microgram of vitamin B12. If a total of 1.7 micrograms of vitamin B12 are consumed from eating x ounces of cheese and y ounces of tuna, which equation best represents this situation?
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线性建模・建立方程挑战
A partially filled container containing 21 milliliters of water is placed under a leaky faucet that produces one 0.06-milliliter drop of water every 6 seconds. Until the container is full, which of the following can be used to represent the volume v, in milliliters, of water in the container t seconds after it is placed under the faucet, where t is a multiple of 6?
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线性建模・建立方程挑战
Hannah and Wyatt are saving money to purchase a car. Hannah saves \( \frac{1}{5} \) of her salary each month, and Wyatt saves \( \frac{2}{7} \) of his salary each month. Together, they save a total of $3,270 from their monthly salaries each month. If h and w represent Hannah's and Wyatt's monthly salaries, in dollars, respectively, which equation shows the relationship between h and w ?
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线性建模・建立方程进阶
The length, y, of a beluga whale was 158 centimeters (cm) when it was born and increased an average of 4.9 cm per month for the first 12 months after it was born. Which equation best represents this situation, where x is the number of months after the whale was born?
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线性建模・建立方程挑战
A wireless phone company pays customers for trading in old smartphones. The payment p, in dollars, is the original retail price of a smartphone minus $135 for each year since the smartphone was released. Which equation represents this situation for a smartphone with an original retail price of $750 when it was released t years ago, where t is a whole number and \( 1\le t\le4 \)?
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线性建模・建立方程基础
A city has an area of x square miles and a population density of 1,035 people per square mile. The suburb adjacent to the city has an area of y square miles and a population density of 535 people per square mile. The combined population of the city and the suburb adjacent to the city is 13,165 people. Which equation represents this situation?
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线性建模・建立方程进阶
During hibernation, American black bears do not eat or replenish calories. A certain black bear weighed 293 pounds when entering hibernation and lost weight at a mean rate of 0.9 pounds per day. At this rate, how many days after entering hibernation would the black bear weigh 230 pounds?
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线性建模・建立方程挑战
A biologist mixed a solution that is 0.3% sodium chloride by mass with a solution that is 0.15% sodium chloride by mass to obtain a new solution, which has a mass of 80 grams and contains 0.21 grams of sodium chloride. How many grams of 0.3% sodium chloride solution did the biologist use?
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线性建模・建立方程挑战
At a fundraiser, a family pays a fixed entrance fee. They then purchase food tickets, which each have the same cost. The table shows the relationship between the number of food tickets, x, that are purchased and the total amount paid y, in dollars, for both the entrance fee and the food tickets. Which equation represents the relationship between x and y?
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线性建模・建立方程进阶
A beekeeper’s initial observation of the population of a certain bee colony was 1,600 bees. The beekeeper set a goal to increase the population to 2,975 bees. The beekeeper uses a model that predicts the population of this bee colony begins at 1,600 and increases by 110 bees per week in the first two weeks after the initial observation, and then increases by 165 bees per week until the beekeeper’s goal is reached. According to this model, at the end of week \( w \) after the initial observation, where \( w>2 \), which of the following functions gives the predicted number of bees still needed to reach the beekeeper’s goal?
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线性建模・建立方程进阶
A dance studio charges an introductory fee for the first 3 lessons and then charges a fixed fee for each additional lesson. One student took 4 lessons and was charged $60. Another student took 16 lessons and was charged $300. Which function \( f \) gives the total charge, in dollars, for any student who took x lessons, where \( x>2 \)?
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线性建模・建立方程进阶
Hector receives a gift card worth $70.00 to pay for movies online. He uses his gift card to buy 2 movies for $6.50 each. He will spend the rest of his gift card on renting movies for $1.50 each. How many movies can Hector rent?
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